Metrics for Beckmann Sample, near normal, slope

analyze359.0ms (2.4%)

Memory

3.1MiB live, 410.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.1s (14.5%)

Memory

-116.1MiB live, 2 908.2MiB allocated

Samples

1.7s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 398.0ms (28.4% of total)

const: 284.0ms (20.3% of total)

ival-mult: 177.0ms (12.6% of total)

ival-<=: 127.0ms (9.1% of total)

ival-cos: 97.0ms (6.9% of total)

ival-sqrt: 87.0ms (6.2% of total)

ival-neg: 76.0ms (5.4% of total)

ival-sub: 45.0ms (3.2% of total)

ival-pi: 38.0ms (2.7% of total)

ival-and: 33.0ms (2.4% of total)

ival->: 24.0ms (1.7% of total)

exact: 9.0ms (0.6% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess46.0ms (0.3%)

Memory

17.4MiB live, 56.5MiB allocated

Algorithm

1×	egg-herbie

Rules

340×	`associate-r`
254×	`distribute-lft-in`
228×	`associate-l`
184×	`distribute-rgt-in`
158×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	120
2	186	120
3	324	120
4	515	120
5	747	120
6	912	120
7	1252	120
8	1367	120
9	1553	120
10	1562	120
11	1566	120
12	1566	120
0	13	13
0	22	13
1	34	13
2	46	13
3	55	13
4	63	13
5	75	13
6	89	13
7	97	13
8	100	13
0	100	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))

Symmetry

(abs u2)

(abs cosTheta_i)

explain150.0ms (1%)

Memory

-3.1MiB live, 240.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
185	2	(0.999919593334198 0.00013601772661786526 0.10614005476236343)	3	(0.9999851584434509 0.010878292843699455 1.2920286174278317e-8)	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	184	16

Confusion

	Predicted +	Predicted -
+	179	2
-	5	70

Precision

0.9728260869565217

Recall

0.988950276243094

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	179	2	0
-	5	14	56

Precision?

0.905

Recall?

1.0

Freqs

test

number	freq
0	72
1	184

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 136 to 60 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 9.0ms (27.1% of total)

ival-log: 8.0ms (24.1% of total)

ival-cos: 6.0ms (18% of total)

ival-sub: 3.0ms (9% of total)

ival-sqrt: 3.0ms (9% of total)

ival-pi: 2.0ms (6% of total)

ival-neg: 2.0ms (6% of total)

exact: 1.0ms (3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify7.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	32	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Rules

40×	`lower-*.f64`
34×	`lower-*.f32`
32×	`lower-+.f64`
32×	`lower-+.f32`
24×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	22	50
1	34	50
2	46	50
3	55	50
4	63	50
5	75	50
6	89	50
7	97	50
8	100	50
0	100	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 (neg.f32 u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2

localize47.0ms (0.3%)

Memory

-12.4MiB live, 62.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	57.5%	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Samples

34.0ms

256×

valid

Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (45% of total)

ival-log: 4.0ms (18% of total)

ival-cos: 3.0ms (13.5% of total)

ival-sqrt: 2.0ms (9% of total)

ival-pi: 1.0ms (4.5% of total)

ival-sub: 1.0ms (4.5% of total)

ival-neg: 1.0ms (4.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory

11.4MiB live, 93.8MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (log.f32 (-.f32 #s(literal 1 binary32) u1))>
#<alt (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))>
#<alt (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)>

Outputs
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	-inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u2	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	0	(* (sqrt (neg (log (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite280.0ms (1.9%)

Memory

17.7MiB live, 328.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 444×	`lower-*.f64`
3 438×	`lower-*.f32`
2 098×	`lower-fma.f64`
2 098×	`lower-fma.f32`
2 048×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 228

Calls

Call 1

Inputs
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Outputs
(log1p.f32 u1)
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 (neg.f32 u1)))
(neg.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log1p.f32 u1) #s(literal 0 binary32))
(+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(+.f32 #s(literal 0 binary32) (log1p.f32 u1))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(+.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(+.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(+.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (log1p.f32 u1))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (*.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(+.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(fma.f32 (log1p.f32 u1) #s(literal -1 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(fma.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(-.f32 (log1p.f32 u1) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (log.f32 (.f32 #s(literal 1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(-.f32 (log.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))) (log.f32 #s(literal -1 binary32)))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log.f32 (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (neg.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 u1 (.f32 u1 u1))))) (log.f32 (*.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 u1 u1)))) (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32))) (log.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(-.f32 (log.f32 (neg.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (log.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))))
(-.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))))
(-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))))
(-.f32 (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))) (log1p.f32 u1))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))) (log1p.f32 (.f32 u1 (.f32 u1 u1))))
(-.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (log1p.f32 (*.f32 u1 u1)))
(/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (log1p.f32 u1))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 0 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (*.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))
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(/.f32 (exp.f32 (log.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 4 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 #s(literal -1 binary32))))
(*.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)) #s(literal 1 binary32))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) u2))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) u2) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 u2 (cbrt.f32 (PI.f32))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(.f32 (.f32 u2 #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify380.0ms (2.6%)

Memory

-18.8MiB live, 600.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 270×	`lower-fma.f64`
9 270×	`lower-fma.f32`
5 620×	`lower-*.f64`
5 620×	`lower-*.f32`
3 580×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))

Outputs
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* -1/2 u1) 1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(+ (log -1) (* -1 (log (/ 1 u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 #s(literal -1 binary32) u1)))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (log.f32 u1) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1)))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1))
(* -1 (log (/ -1 u1)))
(log.f32 (neg.f32 u1))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+.f32 (log.f32 (neg.f32 u1)) (/.f32 #s(literal -1 binary32) u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1)) u1) (log.f32 (neg.f32 u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(-.f32 (log.f32 (neg.f32 u1)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 #s(literal 1/3 binary32) (*.f32 u1 u1))) u1))
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32)))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 u1 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)))) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 u1)) (neg.f32 (sqrt.f32 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (/.f32 #s(literal -1/2 binary32) u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (fma.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 (.f32 u1 u1))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))) (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))) (.f32 (/.f32 #s(literal 1/2 binary32) u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1)))) u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))) (/.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (log.f32 (neg.f32 u1))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) u1))))) (/.f32 #s(literal -1/2 binary32) u1) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1))))))) u1))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 u2 u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 2/3 binary32) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -4/45 binary32) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (fma.f32 #s(literal -2 binary32) (.f32 u2 (.f32 u2 (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (sqrt.f32 u1) (fma.f32 #s(literal -1/6 binary32) (.f32 u1 u1) #s(literal -1 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/4 binary32) (.f32 u1 u1))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/16 binary32) u1) #s(literal -1/8 binary32)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal -1/6 binary32) u1 #s(literal -1/4 binary32)))) (neg.f32 (sqrt.f32 u1)))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) u1) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 (.f32 u1 u1))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 u1 u1))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(neg.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) u1)) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(-.f32 (/.f32 (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))) (log.f32 (neg.f32 u1)))) (+.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1/8 binary32) (log.f32 (neg.f32 u1)))))) u1) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal -1 binary32) (log.f32 (neg.f32 u1)))))) u1) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1)))))
u1
(* u1 (+ 1 (* 1/2 u1)))
(fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (neg.f32 (log.f32 #s(literal -1 binary32))) (log.f32 u1))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (-.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u1 (*.f32 u1 u1))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(log (/ -1 u1))
(neg.f32 (log.f32 (neg.f32 u1)))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) (log.f32 (neg.f32 u1)))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (log.f32 (neg.f32 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u1)) u1)) u1) (log.f32 (neg.f32 u1)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))

eval40.0ms (0.3%)

Memory: -35.5MiB live, 44.6MiB allocated
Compiler: Compiled 6 980 to 1 363 computations (80.5% saved)

prune74.0ms (0.5%)

Memory

-6.8MiB live, 122.9MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	278	21	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	278	22	300

Accuracy

99.7%

Counts

300 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	73.1%	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.5%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.1%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	56.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	58.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))) (log1p.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.0%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (log1p.f32 (neg.f32 (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	89.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
✓	59.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	3.4%	(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 1 104 to 748 computations (32.2% saved)

simplify411.0ms (2.8%)

Memory

48.8MiB live, 548.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
✓	cost-diff	0	(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	128	(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
✓	cost-diff	3488	(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
✓	cost-diff	64	(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
✓	cost-diff	64	(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))
✓	cost-diff	352	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
✓	cost-diff	384	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
✓	cost-diff	0	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
✓	cost-diff	0	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(neg.f32 (sqrt.f32 u1))
✓	cost-diff	0	(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	0	(log1p.f32 u1)
✓	cost-diff	0	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
✓	cost-diff	0	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
✓	cost-diff	0	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

14 212×	`lower-fma.f64`
14 208×	`lower-fma.f32`
2 760×	`lower-*.f64`
2 744×	`lower-*.f32`
2 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	372
0	80	337
1	143	325
2	293	324
3	539	324
4	1203	324
5	1745	324
6	1948	324
7	2126	324
8	2571	324
9	2923	324
10	4482	324
11	5852	324
12	6582	324
13	6904	324
14	6983	324
15	7026	324
16	7071	324
17	7556	324
18	7917	324
0	8063	321

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
(neg.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
u1
(fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))
(fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))
#s(literal -1/3 binary32)
#s(literal -1/2 binary32)
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))
(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
u1
(neg.f32 u1)
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
u1
#s(literal 2 binary32)
(sqrt.f32 (log1p.f32 u1))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
u2

Outputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 u1)
u1
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
(neg.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 u1)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
u1
(fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))
(fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))
#s(literal -1/3 binary32)
#s(literal -1/2 binary32)
#s(literal -1 binary32)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))))
(sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(*.f32 u1 (neg.f32 u1))
u1
(neg.f32 u1)
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fabs.f32 (log1p.f32 u1)) (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u2))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (fabs.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(fabs.f32 (log1p.f32 u1))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(log1p.f32 u1)
u1
#s(literal 2 binary32)
(sqrt.f32 (log1p.f32 u1))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
u2

localize222.0ms (1.5%)

Memory

-4.6MiB live, 352.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.6%	(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
✓	accuracy	98.3%	(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.9%	(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	57.3%	(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	99.0%	(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	99.8%	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
✓	accuracy	99.5%	(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	99.5%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
✓	accuracy	98.2%	(PI.f32)

Samples

86.0ms	251×	0	valid
7.0ms	5×	5	exit

Compiler

Compiled 374 to 47 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 21.0ms (29.5% of total)

ival-sqrt: 10.0ms (14% of total)

ival-neg: 6.0ms (8.4% of total)

ival-div: 5.0ms (7% of total)

ival-add: 5.0ms (7% of total)

ival-log1p: 5.0ms (7% of total)

const: 4.0ms (5.6% of total)

ival-pow2: 4.0ms (5.6% of total)

ival-log: 4.0ms (5.6% of total)

ival-cos: 3.0ms (4.2% of total)

adjust: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

ival-pi: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series96.0ms (0.7%)

Memory

-3.7MiB live, 186.4MiB allocated

Counts

24 → 324

Calls

Call 1

Inputs
#<alt (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))>
#<alt (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))>
#<alt (log1p.f32 u1)>
#<alt (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))>
#<alt (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))>
#<alt (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))>
#<alt (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))>
#<alt (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))>
#<alt (neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))>
#<alt (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))>
#<alt (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))>
#<alt (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))>
#<alt (.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))>
#<alt (PI.f32)>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))>
#<alt (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))>

Outputs
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))>
#<alt (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))>
#<alt (+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))))>
#<alt (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3)))))) (+ (log -1) (* -2 (log (/ 1 u1)))))>
#<alt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (/ 1 u1)) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (+ (/ 1/2 (pow u1 2)) (/ 1 u1))) (* -2 (log (/ -1 u1))))>
#<alt (- (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1))) (* -2 (log (/ -1 u1))))>
#<alt u1>
#<alt (* u1 (+ 1 (* -1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (- (* 1/3 u1) 1/2))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1/3 (* -1/4 u1))) 1/2))))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (* -1 (log (/ 1 u1))) (/ 1 u1))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (/ 1 u1)) (/ 1/2 (pow u1 2)))>
#<alt (- (+ (* -1 (log (/ 1 u1))) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (/ 1/2 (pow u1 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (/ 1 u1)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* 1/2 (/ 1 u1)) 1) u1))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 u1))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u1)) 1/2) u1)) 1) u1))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* -1 (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
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#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (sqrt (log (+ 1 u1)))>
#<alt (+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))>
#<alt (+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- u1 1)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))>
#<alt (/ 1 u1)>
#<alt (/ (- 1 (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)>
#<alt (/ 1 u1)>
#<alt (* -1 (/ (- (/ 1 u1) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (* -1 u1)))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))>
#<alt (* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))>
#<alt (pow (log (/ 1 u1)) 2)>
#<alt (+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))>
#<alt (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))>
#<alt (- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)>
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>

Calls

81 calls:

Time	Variable		Point	Expression
40.0ms	u2	@	inf	(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2)))
18.0ms	u2	@	-inf	(* (/ (sqrt (neg (neg (pow (log (+ 1 u1)) 2)))) (sqrt (log (+ 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms	u2	@	-inf	(* (neg (sqrt u1)) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	inf	(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2)))
1.0ms	u1	@	-inf	(* (sqrt (- (log (+ 1 u1)) (log (+ 1 (* u1 (neg u1)))))) (cos (* (* 2 (PI)) u2)))

rewrite89.0ms (0.6%)

Memory

4.5MiB live, 160.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

864×	`lower-*.f64`
848×	`lower-*.f32`
604×	`lower-fma.f64`
600×	`lower-fma.f32`
530×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	205
0	76	179
1	265	152
0	1662	147

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 348

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(log1p.f32 u1)
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(neg.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))))
(sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1)))
(PI.f32)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))) (log1p.f32 u1))
(+.f32 (.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal -1 binary32)) (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)))
(+.f32 (.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)) (.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal -1 binary32)))
(fma.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal -1 binary32) (.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal -1 binary32) (.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal -1 binary32)))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(fma.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(fma.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))))
(-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))
(-.f32 #s(literal 0 binary32) (log1p.f32 (neg.f32 u1)))
(-.f32 (neg.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (/.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32))) (neg.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) (-.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (neg.f32 (.f32 u1 u1)))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 (.f32 (log1p.f32 (neg.f32 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(/.f32 (.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (log1p.f32 (neg.f32 u1))))) (neg.f32 (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32)))) (fma.f32 (neg.f32 (log1p.f32 u1)) (-.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (neg.f32 (.f32 u1 u1)))) (pow.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) #s(literal 2 binary32))))
(/.f32 (neg.f32 (.f32 (log1p.f32 (neg.f32 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (log.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
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(.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (log1p.f32 u1)) (-.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 (neg.f32 (.f32 u1 u1)))) (pow.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) #s(literal 2 binary32)))))
(.f32 (.f32 (log1p.f32 (neg.f32 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(log.f32 (-.f32 #s(literal 1 binary32) u1))
(log1p.f32 u1)
(neg.f32 (neg.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(fabs.f32 (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) #s(literal 1 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 (neg.f32 u1)))
(-.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 (neg.f32 u1))))
(sqrt.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(log.f32 (+.f32 u1 #s(literal 1 binary32)))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1))))
(+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(*.f32 (log1p.f32 u1) (log1p.f32 u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(*.f32 #s(literal 1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal -1 binary32))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 (log1p.f32 u1))))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (log1p.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (neg.f32 (log1p.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(/.f32 (.f32 (neg.f32 (log1p.f32 u1)) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (log1p.f32 u1) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))))
(.f32 (log1p.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))))
(.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
(neg.f32 (/.f32 (log1p.f32 u1) (neg.f32 (sqrt.f32 (log1p.f32 u1)))))
(neg.f32 (/.f32 (neg.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) #s(literal -1 binary32))
(/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (log1p.f32 u1) (neg.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (log1p.f32 u1) #s(literal 1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (log1p.f32 u1)))
(*.f32 (log1p.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
(*.f32 #s(literal 1 binary32) (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (log1p.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) (log1p.f32 u1))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32)))
(log.f32 (exp.f32 (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u2 (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (.f32 (PI.f32) u2) #s(literal 2 binary32))
(.f32 (.f32 u2 #s(literal 2 binary32)) (PI.f32))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal -1 binary32)))
(pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 u1) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (log1p.f32 u1))))
(+.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(pow.f32 (log1p.f32 u1) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(*.f32 (log1p.f32 u1) (log1p.f32 u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))
(*.f32 #s(literal 1 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) #s(literal -1 binary32))
(*.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (exp.f32 (log.f32 (log1p.f32 u1))))

simplify452.0ms (3.1%)

Memory

8.8MiB live, 595.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 128×	`lower-fma.f64`
11 128×	`lower-fma.f32`
7 536×	`lower-*.f64`
7 536×	`lower-*.f32`
4 432×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	802	6567
1	2496	5599
0	8026	5279

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (- 1/4 (* 1/16 (/ 1 u1)))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1)))))))) (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ 1 u1))) (+ (log -1) (* -2 (log (/ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))) (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (- (* -1 (log (/ -1 u1))) (* -2 (log (/ -1 u1)))))))
(sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))
(+ (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (- (log (+ 1 u1)) (log (+ 1 (* -1 (pow u1 2)))))))
(sqrt u1)
(+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))
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(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(sqrt (log (+ 1 u1)))
(+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))
(+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
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(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))
(sqrt u1)
(+ (sqrt u1) (* -1/4 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* 1/6 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 u1))))) (* 1/6 (sqrt (/ 1 u1))))))))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/ 1 u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(pow (log (/ 1 u1)) 2)
(+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))
(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
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Outputs
(* (sqrt u1) (cos (* 2 (* u2 (PI)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))))
(+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))
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(+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))) (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))
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(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1))))
(fma.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 u1)) #s(literal -1/4 binary32)) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+ (* -1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))
(fma.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 u1)) #s(literal -1/4 binary32)) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (log.f32 u1))) (log.f32 u1)) #s(literal 1/3 binary32)) (.f32 (.f32 u1 (.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)))
(-.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (+.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/4 binary32)) u1))) u1))
(+ (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1)))
(-.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/4 binary32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) u1) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal -1/4 binary32)))) (neg.f32 u1))) u1))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
(* 2 (* u2 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (- u1 1)))
(fma.f32 u1 (+.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 u1 (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (- 1 (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) (/.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1))) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1 u1)))
(*.f32 u1 (fma.f32 u1 (neg.f32 u1) u1))
(* (pow u1 2) (+ 1 (* u1 (- (* 11/12 u1) 1))))
(.f32 u1 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 11/12 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 11/12 (* -5/6 u1))) 1))))
(.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -5/6 binary32) #s(literal 11/12 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow (log (/ 1 u1)) 2)
(pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (pow (log (/ 1 u1)) 2))
(fma.f32 (neg.f32 (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32)))
(+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))
(+.f32 (fma.f32 (log.f32 u1) (log.f32 u1) (/.f32 (neg.f32 (log.f32 u1)) (.f32 u1 u1))) (fma.f32 (neg.f32 (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(- (+ (* -2 (/ (log (/ 1 u1)) u1)) (+ (* -2/3 (/ (log (/ 1 u1)) (pow u1 3))) (+ (/ 1 (pow u1 2)) (+ (/ (log (/ 1 u1)) (pow u1 2)) (pow (log (/ 1 u1)) 2))))) (/ 1 (pow u1 3)))
(-.f32 (fma.f32 #s(literal -2/3 binary32) (/.f32 (neg.f32 (log.f32 u1)) (.f32 u1 (.f32 u1 u1))) (+.f32 (fma.f32 (log.f32 u1) (log.f32 u1) (/.f32 (neg.f32 (log.f32 u1)) (.f32 u1 u1))) (fma.f32 (neg.f32 (log.f32 u1)) (/.f32 #s(literal -2 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))
(pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2)
(pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) u1) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (neg.f32 u1))) u1))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 u1))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 u1)))))) u1)))) u1))) u1)) (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(-.f32 (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal -2/3 binary32) #s(literal 1 binary32)) u1)) (neg.f32 u1))) u1))

eval101.0ms (0.7%)

Memory: 23.1MiB live, 190.0MiB allocated
Compiler: Compiled 21 179 to 2 623 computations (87.6% saved)

prune136.0ms (0.9%)

Memory

-17.9MiB live, 329.4MiB allocated

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	891	34	925
Fresh	8	8	16
Picked	4	1	5
Done	0	1	1
Total	903	44	947

Accuracy

99.9%

Counts

947 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.7%	(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
	73.2%	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
▶	73.2%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	87.7%	(.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
	88.6%	(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.9%	(.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.0%	(.f32 (/.f32 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	88.6%	(.f32 (.f32 (pow.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.1%	(.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.5%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (log1p.f32 (neg.f32 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (neg.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.0%	(.f32 (sqrt.f32 (-.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	99.0%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) u2)))
✓	99.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	96.5%	(.f32 (sqrt.f32 (-.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	89.3%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.2%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (fma.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (-.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	89.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	71.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
	85.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	59.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
✓	59.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	57.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	3.7%	(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	73.1%	(.f32 (log1p.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
	87.0%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	96.6%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	78.6%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	61.2%	(sqrt.f32 (log1p.f32 u1))
▶	5.6%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 1 929 to 1 365 computations (29.2% saved)

simplify82.0ms (0.6%)

Memory

25.7MiB live, 107.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 (PI.f32) u2)
✓	cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
✓	cost-diff	0	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
✓	cost-diff	192	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	320	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))
✓	cost-diff	64	(neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(neg.f32 (sqrt.f32 u1))
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Rules

1 456×	`lower-fma.f64`
1 452×	`lower-fma.f32`
636×	`lower-*.f64`
622×	`lower-*.f32`
358×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	230
0	68	224
1	111	221
2	181	221
3	462	221
4	1397	221
5	2077	221
6	2164	221
7	2175	221
8	2180	221
9	2181	221
10	2182	221
0	2182	217

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))))
(neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))
(fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
u1
(fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))
#s(literal -1/3 binary32)
#s(literal -1/2 binary32)
(neg.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)
(fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))
(*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
u1
(fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))
#s(literal -1/3 binary32)
#s(literal -1/2 binary32)
(neg.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
u1
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
#s(literal 2 binary32)
(*.f32 (PI.f32) u2)
(PI.f32)
u2
(/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 u1)
u1

localize175.0ms (1.2%)

Memory

-23.3MiB live, 262.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
✓	accuracy	99.0%	(*.f32 (PI.f32) u2)
✓	accuracy	98.9%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	99.5%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	54.9%	(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.2%	(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.2%	(PI.f32)
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	100.0%	(neg.f32 (sqrt.f32 u1))
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.2%	(PI.f32)

Samples

77.0ms	251×	0	valid
7.0ms	5×	5	exit

Compiler

Compiled 232 to 40 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 14.0ms (21.9% of total)

ival-div: 10.0ms (15.6% of total)

ival-sqrt: 9.0ms (14.1% of total)

ival-log1p: 6.0ms (9.4% of total)

ival-neg: 5.0ms (7.8% of total)

ival-cos: 5.0ms (7.8% of total)

const: 4.0ms (6.3% of total)

ival-log: 4.0ms (6.3% of total)

ival-add: 2.0ms (3.1% of total)

adjust: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

ival-pi: 1.0ms (1.6% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory

-4.8MiB live, 67.9MiB allocated

Counts

22 → 300

Calls

Call 1

Inputs
#<alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (log1p.f32 (neg.f32 u1))>
#<alt (neg.f32 (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))>
#<alt (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))>
#<alt (.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))))>
#<alt (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))>
#<alt (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))>
#<alt (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))>
#<alt (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))>
#<alt (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))>
#<alt (*.f32 (PI.f32) u2)>
#<alt (PI.f32)>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))>
#<alt (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))>

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
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#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (log (/ 1 u1))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (* (cos (* 2 (* u2 (PI)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ -1 u1)))))>
#<alt (sqrt (log (/ 1 (- 1 u1))))>
#<alt (+ (sqrt (log (/ 1 (- 1 u1)))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (/ 1 (- 1 u1)))))))>
#<alt (+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (/ 1 (- 1 u1)))))))))>
#<alt (+ (sqrt (log (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (/ 1 (- 1 u1)))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (/ 1 (- 1 u1)))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (/ 1 (- 1 u1)))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (/ 1 (- 1 u1)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/6 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* 1/6 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/4 (* 1/16 (/ 1 u1))))))))))>
#<alt (sqrt (+ (log -1) (log (/ 1 u1))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1)))))))))>
#<alt (+ (sqrt (+ (log -1) (log (/ 1 u1)))) (+ (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (+ (* 1/2 (* (/ (- 1/3 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (+ (log -1) (log (/ 1 u1)))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))) (* 1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (+ (log -1) (log (/ 1 u1)))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (log (/ 1 u1))))))))))>
#<alt (sqrt (log (/ -1 u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* 1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* -1/2 (* (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)))>
#<alt (+ (sqrt (log (/ -1 u1))) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))))) (* 1/2 (* (/ (+ 1/3 (* -1/2 (/ (- 1/2 (* 1/4 (/ 1 (log (/ -1 u1))))) (log (/ -1 u1))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* -1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)))>
#<alt 1>
#<alt (+ 1 u1)>
#<alt (+ 1 (* u1 (+ 1 u1)))>
#<alt (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (+ 1 (/ 1 u1)) u1))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (+ 1 (/ 1 u1)) u1))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))>
#<alt (sqrt (log (+ 1 u1)))>
#<alt (+ (sqrt (log (+ 1 u1))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log (+ 1 u1))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log (+ 1 u1))))))))>
#<alt (+ (sqrt (log (+ 1 u1))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (log (+ 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log (+ 1 u1))))) (* 2/3 (* (pow (PI) 4) (sqrt (log (+ 1 u1))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (log (+ 1 u1))))>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* 1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (cos (* 2 (* u2 (PI))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 u1)))))) (* 1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 2) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) (* u1 (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ 1 u1)) (pow (sqrt -1) 2))))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (/ 1 (log (/ 1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ (* 1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* -1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))))) u1)) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* -1/2 u1)>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* u1 (- (* -1/3 u1) 1/2))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1/3 (pow u1 2))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/24 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/24 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/24 (* 1/16 (/ 1 u1)))))))))) u1)>
#<alt (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1))>
#<alt (+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1)))>
#<alt (+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (pow u1 2) (sqrt -1))) (sqrt (log (/ 1 u1))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1))))>
#<alt (+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (pow u1 2) (sqrt -1))) (sqrt (log (/ 1 u1))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (/ 1 (pow (log (/ 1 u1)) 3))) (log (/ 1 u1)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))) (* 1/3 (/ 1 (pow (log (/ 1 u1)) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (log (/ 1 u1))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1)))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (* (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))>
#<alt (+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))) u1)) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))>

Calls

75 calls:

Time	Variable		Point	Expression
17.0ms	u2	@	inf	(* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
3.0ms	u1	@	inf	(* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2)))
2.0ms	u1	@	inf	(/ (sqrt (log (+ 1 u1))) (log (+ 1 u1)))
1.0ms	u1	@	-inf	(/ (sqrt (log (+ 1 u1))) (log (+ 1 u1)))
1.0ms	u1	@	-inf	(* (sqrt (log (/ 1 (- 1 u1)))) (cos (* (* 2 (PI)) u2)))

rewrite260.0ms (1.8%)

Memory

31.3MiB live, 431.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 902×	`lower-fma.f64`
3 898×	`lower-fma.f32`
3 768×	`lower-*.f64`
3 754×	`lower-*.f32`
2 266×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	158
0	68	154
1	215	150
2	1209	132
0	9722	132

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 901

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))
(fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (fma.f32 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1))))
(log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(PI.f32)
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))

Outputs
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(/.f32 (.f32 u1 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32) #s(literal -1/8 binary32))) (+.f32 (fma.f32 u1 (.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32)) (*.f32 u1 #s(literal 1/6 binary32))))
(/.f32 (.f32 u1 (fma.f32 u1 (.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32))) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(/.f32 (.f32 u1 (fma.f32 u1 (.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32))) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32) #s(literal -1/8 binary32)) u1) (+.f32 #s(literal 1/4 binary32) (fma.f32 u1 #s(literal 1/6 binary32) (.f32 (*.f32 u1 u1) #s(literal 1/9 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32) #s(literal -1/8 binary32)) u1) (+.f32 (fma.f32 u1 (.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32)) (*.f32 u1 #s(literal 1/6 binary32))))
(/.f32 (.f32 (fma.f32 u1 (.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32)) u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(/.f32 (.f32 (fma.f32 u1 (.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32)) u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32)) (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal -1/8 binary32) (.f32 u1 (.f32 u1 u1))))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/9 binary32)) (.f32 u1 u1) (.f32 (.f32 u1 #s(literal -1/2 binary32)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 #s(literal -1/3 binary32) (.f32 u1 u1))))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32)) (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal -1/8 binary32) (.f32 u1 (.f32 u1 u1))))) (neg.f32 (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/9 binary32)) (.f32 u1 u1) (.f32 (.f32 u1 #s(literal -1/2 binary32)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)))))))
(/.f32 (neg.f32 (.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32)) (.f32 u1 (.f32 u1 u1)))) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (-.f32 (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) #s(literal 1/9 binary32)) (.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 #s(literal -1/3 binary32) (*.f32 u1 u1))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32)) (.f32 u1 (.f32 u1 u1))) (.f32 #s(literal -1/8 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/9 binary32)) (.f32 u1 u1) (.f32 (.f32 u1 #s(literal -1/2 binary32)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 #s(literal -1/3 binary32) (*.f32 u1 u1))))))
(/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (.f32 (.f32 (.f32 u1 (.f32 u1 u1)) u1) #s(literal 1/9 binary32))) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 #s(literal -1/3 binary32) (*.f32 u1 u1))))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))
(*.f32 u1 (neg.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))
(*.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) u1)
(.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))))
(.f32 (fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32)) (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal -1/8 binary32) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/9 binary32)) (.f32 u1 u1) (.f32 (.f32 u1 #s(literal -1/2 binary32)) (-.f32 (.f32 u1 #s(literal -1/2 binary32)) (.f32 #s(literal -1/3 binary32) (*.f32 u1 u1)))))))
(.f32 (.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))))
(.f32 (.f32 u1 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32) #s(literal -1/8 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (fma.f32 u1 #s(literal 1/6 binary32) (.f32 (.f32 u1 u1) #s(literal 1/9 binary32))))))
(.f32 (.f32 u1 (fma.f32 u1 (*.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1/27 binary32) #s(literal -1/8 binary32)) u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (fma.f32 u1 #s(literal 1/6 binary32) (.f32 (.f32 u1 u1) #s(literal 1/9 binary32))))))
(.f32 (.f32 (fma.f32 u1 (*.f32 #s(literal 1/9 binary32) u1) #s(literal -1/4 binary32)) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))))
(*.f32 (neg.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1)
(.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) u1)
(.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) u1)
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (*.f32 (log.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(pow.f32 (log1p.f32 u1) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (log1p.f32 u1)) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (neg.f32 (log1p.f32 u1)))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (/.f32 #s(literal -1 binary32) (log1p.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))) (/.f32 #s(literal -1 binary32) (log1p.f32 u1)))
(.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (/.f32 #s(literal -1 binary32) (log1p.f32 u1)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (log1p.f32 u1)))) #s(literal -1/2 binary32)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32))) (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)))

simplify698.0ms (4.8%)

Memory

2.7MiB live, 637.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 910×	`lower-fma.f64`
10 910×	`lower-fma.f32`
8 544×	`lower-*.f64`
8 544×	`lower-*.f32`
3 826×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	831	6430
1	2567	5640
0	8452	5371

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))
(+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))
u1
(* u1 (+ 1 (* 1/2 u1)))
(* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))
(* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))
(* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))
(- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))
(log (/ -1 u1))
(- (/ 1 u1) (* -1 (log (/ -1 u1))))
(- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))
(* -1 u1)
(* u1 (- (* -1/2 u1) 1))
(* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))
(* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 u1))))
(- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))
(+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))
(- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))
(* -1 (log (/ -1 u1)))
(- (* -1 (log (/ -1 u1))) (/ 1 u1))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))
(+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
(* -1 (sqrt u1))
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(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1/3 (pow u1 2))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(* -1 (* (pow u1 2) (+ 1/3 (* 1/2 (/ 1 u1)))))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/24 (sqrt u1)) (* 1/4 (sqrt (/ 1 u1)))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* 1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/24 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1/24 (* 1/16 (/ 1 u1)))))))))) u1)
(* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1)))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (pow u1 2) (sqrt -1))) (sqrt (log (/ 1 u1))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1))))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (pow u1 2) (sqrt -1))) (sqrt (log (/ 1 u1))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (/ 1 (pow (log (/ 1 u1)) 3))) (log (/ 1 u1)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))) (* 1/3 (/ 1 (pow (log (/ 1 u1)) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (log (/ 1 u1))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (* (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))) u1)) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 #s(literal -1/4 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/6 binary32) (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1)) #s(literal -1/2 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 u1))))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(fma.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) #s(literal -1/2 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 u1 u1))))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1 binary32)))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1 binary32) (sqrt.f32 (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 1/3 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1)))) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32)))) (neg.f32 u1)))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (.f32 u2 u2) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))
(fma.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (fma.f32 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))
(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32))) (neg.f32 (sqrt.f32 u1)))
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(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
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u1
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(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (* (/ 1 (* u1 (sqrt -1))) (sqrt (/ 1 (pow (log (/ 1 u1)) 3))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (pow u1 2) (sqrt -1))) (sqrt (log (/ 1 u1))))) (+ (* 1/2 (* (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (/ 1 (pow (log (/ 1 u1)) 3))) (log (/ 1 u1)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (log (/ 1 u1)) 2))) (+ (* 1/4 (/ 1 (* (pow (log (/ 1 u1)) 3) (pow (sqrt -1) 2)))) (/ 1 (pow (log (/ 1 u1)) 3)))) (* (log (/ 1 u1)) (pow (sqrt -1) 2)))) (* 1/3 (/ 1 (pow (log (/ 1 u1)) 2)))))) (* (pow u1 3) (sqrt -1))) (sqrt (log (/ 1 u1))))) (* (sqrt (/ 1 (log (/ 1 u1)))) (sqrt -1)))))
(fma.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 (log.f32 u1)) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (log.f32 u1)) (/.f32 #s(literal 1/3 binary32) (pow.f32 (neg.f32 (log.f32 u1)) #s(literal 2 binary32))))) (.f32 u1 (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (log.f32 u1)))) (.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (log.f32 u1) #s(literal 3 binary32))))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1/2 (* (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal 3/4 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))))) u1))
(+ (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 u1)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))) (+ (log -1) (* -1 (log (/ -1 u1)))))) (* 1/2 (/ (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))) (+ (log -1) (* -1 (log (/ -1 u1)))))))) u1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (* 1/2 (* (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))) (* 3/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))))) u1)) (* 1/2 (sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) u1)))
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal 3/4 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))))))) (/.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) u1)) (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 2 binary32))) (/.f32 #s(literal 3/4 binary32) (pow.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1))) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) u1)))) #s(literal 1/2 binary32)))) (neg.f32 u1))) u1))

eval158.0ms (1.1%)

Memory: -11.9MiB live, 295.2MiB allocated
Compiler: Compiled 35 467 to 4 100 computations (88.4% saved)

prune296.0ms (2%)

Memory

-9.9MiB live, 616.9MiB allocated

Pruning

60 alts after pruning (57 fresh and 3 done)

	Pruned	Kept	Total
New	1 439	35	1 474
Fresh	15	22	37
Picked	4	1	5
Done	0	2	2
Total	1 458	60	1 518

Accuracy

100.0%

Counts

1 518 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
	82.3%	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) (fma.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) u2) u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
	90.5%	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) u2) u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	3.7%	(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
	73.1%	(/.f32 (fma.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	73.2%	(/.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	5.6%	(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
	73.1%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	75.3%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	62.6%	(/.f32 u1 (sqrt.f32 u1))
	5.6%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
	62.6%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
	87.7%	(.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
	88.6%	(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
▶	85.9%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	80.0%	(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
	87.7%	(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	83.9%	(.f32 (pow.f32 (pow.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	82.3%	(.f32 (pow.f32 (exp.f32 (log.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	73.2%	(.f32 (/.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	84.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.1%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.5%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	77.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (log1p.f32 (neg.f32 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (neg.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.0%	(.f32 (sqrt.f32 (-.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (-.f32 (-.f32 u1 (.f32 u1 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
✓	99.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (neg.f32 (.f32 (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) u1) (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	79.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	89.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	71.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
	85.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
✓	59.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.6%	(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
	3.7%	(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	96.6%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
	78.6%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	71.8%	(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
	78.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	61.2%	(sqrt.f32 (log1p.f32 u1))
▶	62.5%	(sqrt.f32 u1)
	62.5%	(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
	5.6%	(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
▶	62.5%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
	62.4%	(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
	5.6%	(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
✓	5.6%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 2 505 to 1 708 computations (31.8% saved)

simplify290.0ms (2%)

Memory

12.0MiB live, 530.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
✓	cost-diff	64	(neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
✓	cost-diff	4896	(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
✓	cost-diff	0	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
✓	cost-diff	0	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
✓	cost-diff	64	(*.f32 #s(literal 2 binary32) (PI.f32))
✓	cost-diff	96	(+.f32 u1 #s(literal 0 binary32))
✓	cost-diff	128	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
✓	cost-diff	224	(/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))
✓	cost-diff	640	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(log1p.f32 (neg.f32 u1))
✓	cost-diff	0	(neg.f32 (log1p.f32 (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))

Rules

13 518×	`lower-fma.f64`
13 510×	`lower-fma.f32`
2 628×	`lower-*.f64`
2 604×	`lower-*.f32`
1 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	318
0	84	284
1	156	281
2	384	268
3	1017	259
4	2575	257
5	5427	257
0	8223	253

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(PI.f32)
(+.f32 u2 u2)
u2
(sqrt.f32 u1)
u1
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
#s(literal 1 binary32)
(/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))
(+.f32 u1 #s(literal 0 binary32))
u1
#s(literal 0 binary32)
(neg.f32 (*.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (sqrt.f32 u1))
(sqrt.f32 u1)
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
(.f32 u1 (.f32 u1 u1))
u1
(*.f32 u1 u1)
#s(literal 1/4 binary32)
(sqrt.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
#s(literal 1/2 binary32)
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(PI.f32)
(+.f32 u2 u2)
u2
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)
u1
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))
#s(literal -1/3 binary32)
(.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))
(neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
#s(literal -1/2 binary32)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
u1
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(PI.f32)
(+.f32 u2 u2)
u2
(sqrt.f32 u1)
u1
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(sqrt.f32 u1)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (sqrt.f32 u1))
#s(literal 1 binary32)
(/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))
(/.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(+.f32 u1 #s(literal 0 binary32))
u1
u1
#s(literal 0 binary32)
(neg.f32 (*.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (sqrt.f32 u1))
(sqrt.f32 u1)
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
(.f32 u1 (.f32 u1 u1))
u1
(*.f32 u1 u1)
#s(literal 1/4 binary32)
(sqrt.f32 u1)
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(*.f32 (PI.f32) (+.f32 u2 u2))
(*.f32 #s(literal 2 binary32) (PI.f32))
(+.f32 (PI.f32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u2
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(PI.f32)
(+.f32 u2 u2)
u2
(sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)
u1
(*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))
(fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))
#s(literal -1/3 binary32)
(.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) #s(literal -1/2 binary32))
#s(literal -1/2 binary32)

localize226.0ms (1.5%)

Memory

-12.2MiB live, 302.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	accuracy	99.0%	(.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	40.1%	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
✓	accuracy	99.4%	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
✓	accuracy	99.4%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.0%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
✓	accuracy	98.9%	(PI.f32)
✓	accuracy	100.0%	(neg.f32 (*.f32 u1 (sqrt.f32 u1)))
✓	accuracy	99.2%	(/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))
✓	accuracy	99.2%	(*.f32 u1 (sqrt.f32 u1))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
✓	accuracy	99.0%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	accuracy	98.9%	(PI.f32)

Samples

64.0ms	197×	0	valid
32.0ms	56×	1	valid
4.0ms	3×	5	exit

Compiler

Compiled 320 to 51 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 29.0ms (37.3% of total)

ival-add: 10.0ms (12.8% of total)

ival-sqrt: 8.0ms (10.3% of total)

ival-neg: 7.0ms (9% of total)

ival-cos: 7.0ms (9% of total)

const: 4.0ms (5.1% of total)

adjust: 4.0ms (5.1% of total)

ival-div: 4.0ms (5.1% of total)

ival-log1p: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

ival-pi: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory

25.9MiB live, 64.0MiB allocated

Counts

24 → 312

Calls

Call 1

Inputs
#<alt (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))>
#<alt (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))>
#<alt (neg.f32 (log1p.f32 (neg.f32 u1)))>
#<alt (log1p.f32 (neg.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))>
#<alt (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))>
#<alt (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))>
#<alt (+.f32 u1 #s(literal 0 binary32))>
#<alt (*.f32 #s(literal 2 binary32) (PI.f32))>
#<alt (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))>
#<alt (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))>
#<alt (sqrt.f32 (.f32 u1 (.f32 u1 u1)))>
#<alt (fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))>
#<alt (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))>
#<alt (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))>
#<alt (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))>
#<alt (PI.f32)>
#<alt (*.f32 (PI.f32) (+.f32 u2 u2))>
#<alt (*.f32 u1 (sqrt.f32 u1))>
#<alt (neg.f32 (*.f32 u1 (sqrt.f32 u1)))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)>
#<alt (.f32 u1 (.f32 u1 u1))>
#<alt (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))>

Outputs
#<alt (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))>
#<alt (+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))>
#<alt (* (sqrt (log (- 1 u1))) (sqrt -1))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))>
#<alt (+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1))) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1)) (sqrt (log (- 1 u1))))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (- 1 u1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/4 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* -1/6 (sqrt u1)))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/4 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* -1/6 (sqrt (/ 1 u1))))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))>
#<alt (+ (* -1/2 (* (/ (sqrt -1) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))>
#<alt (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (/ 1 u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (log (/ -1 u1))))) (* 1/2 (* (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (log (/ -1 u1)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))))) (* -1/2 (* (/ (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (sqrt (/ 1 (log (/ -1 u1)))))) u1)) (* (sqrt (log (/ -1 u1))) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 u1)))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* 1/3 u1)))))>
#<alt (* u1 (+ 1 (* u1 (+ 1/2 (* u1 (+ 1/3 (* 1/4 u1)))))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (/ 1 u1) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (+ (/ 1 u1) (* 1/3 (/ 1 (pow u1 3))))) (+ (log -1) (* -1 (log (/ 1 u1)))))>
#<alt (log (/ -1 u1))>
#<alt (- (/ 1 u1) (* -1 (log (/ -1 u1))))>
#<alt (- (+ (/ 1/2 (pow u1 2)) (/ 1 u1)) (* -1 (log (/ -1 u1))))>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) u1)) 1) u1)) (* -1 (log (/ -1 u1))))>
#<alt (* -1 u1)>
#<alt (* u1 (- (* -1/2 u1) 1))>
#<alt (* u1 (- (* u1 (- (* -1/3 u1) 1/2)) 1))>
#<alt (* u1 (- (* u1 (- (* u1 (- (* -1/4 u1) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 u1))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 u1)))) (/ 1 u1))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 u1))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u1))) (pow u1 2))))) (/ 1 u1))>
#<alt (* -1 (log (/ -1 u1)))>
#<alt (- (* -1 (log (/ -1 u1))) (/ 1 u1))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u1))) u1)))>
#<alt (+ (* -1 (log (/ -1 u1))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u1 2)) (* 1/2 (/ 1 u1)))) u1)))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* -1 (sqrt u1))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (* -1 (sqrt (/ 1 u1)))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt u1>
#<alt (* (sqrt u1) (cos (* 2 (* u2 (PI)))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (+ (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (cos (* 2 (* u2 (PI))))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* (pow u1 2) (+ (* 1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* (sqrt (/ 1 (pow u1 3))) (cos (* 2 (* u2 (PI)))))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (/ 1 u1)) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (+ (* -2 (* (pow u2 2) (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* 2/3 (* (pow u2 2) (* (pow (PI) 4) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))))))))>
#<alt (+ (sqrt u1) (+ (* 1/4 (sqrt (pow u1 3))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (* (pow (PI) 6) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))) (* 2/3 (* (pow (PI) 4) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))))))))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (* (cos (* 2 (* u2 (PI)))) (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3)))))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* 1/4 (sqrt (pow u1 3))))>
#<alt (* 1/4 (sqrt (pow u1 3)))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/4 (sqrt (/ 1 u1)))))>
#<alt (* 1/4 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (sqrt (pow u1 3))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))) (* -2 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 2/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))))))>
#<alt (+ (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))) (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))))))))>
#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))>
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#<alt (+ (* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))>
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Calls

78 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	-inf	(+ (* (+ 1/2 (* 1/2 (cos (* (PI) (+ u2 u2))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))) (* (neg (+ 1/2 (* -1/2 (cos (* (PI) (+ u2 u2)))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))))
2.0ms	u1	@	-inf	(+ (* (+ 1/2 (* 1/2 (cos (* (PI) (+ u2 u2))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))) (* (neg (+ 1/2 (* -1/2 (cos (* (PI) (+ u2 u2)))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))))
2.0ms	u1	@	inf	(+ (* (+ 1/2 (* 1/2 (cos (* (PI) (+ u2 u2))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))) (* (neg (+ 1/2 (* -1/2 (cos (* (PI) (+ u2 u2)))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))))
2.0ms	u2	@	inf	(+ (* (+ 1/2 (* 1/2 (cos (* (PI) (+ u2 u2))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))) (* (neg (+ 1/2 (* -1/2 (cos (* (PI) (+ u2 u2)))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))))
1.0ms	u2	@	0	(+ (* (+ 1/2 (* 1/2 (cos (* (PI) (+ u2 u2))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))) (* (neg (+ 1/2 (* -1/2 (cos (* (PI) (+ u2 u2)))))) (sqrt (+ (* u1 (* u1 (+ (* u1 -1/3) 1/2))) u1))))

rewrite471.0ms (3.2%)

Memory

4.5MiB live, 480.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 492×	`lower-fma.f64`
4 484×	`lower-fma.f32`
4 210×	`lower-*.f64`
4 186×	`lower-*.f32`
3 696×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	218
0	84	176
1	291	146
2	2287	121
0	9303	121

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 1 403

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(sqrt.f32 u1)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(+.f32 u1 #s(literal 0 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(PI.f32)
(*.f32 (PI.f32) (+.f32 u2 u2))
(*.f32 u1 (sqrt.f32 u1))
(neg.f32 (*.f32 u1 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
(.f32 u1 (.f32 u1 u1))
(.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))))
(.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1/2 binary32)))
(pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(*.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/4 binary32)))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))))
(+.f32 #s(literal 0 binary32) (neg.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log1p.f32 u1))
(-.f32 #s(literal 0 binary32) (log.f32 (-.f32 #s(literal 1 binary32) (/.f32 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (log1p.f32 u1))))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))) (/.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (log1p.f32 u1))))
(*.f32 (log1p.f32 u1) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log1p.f32 u1))
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(log1p.f32 u1)
(neg.f32 (log.f32 (/.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(neg.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (neg.f32 (log1p.f32 u1)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (.f32 u1 (.f32 u1 u1))) (log.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (log.f32 (neg.f32 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (log.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32))) (log.f32 (-.f32 u1 #s(literal 1 binary32))))
(log.f32 (+.f32 u1 #s(literal 1 binary32)))
(neg.f32 (sqrt.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(exp.f32 (.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(fabs.f32 (sqrt.f32 u1))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (sqrt.f32 u1) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(-.f32 (sqrt.f32 u1) (/.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(-.f32 (sqrt.f32 u1) (/.f32 (/.f32 #s(literal 0 binary32) u1) (sqrt.f32 u1)))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) u1) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(/.f32 (.f32 u1 (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(/.f32 (.f32 u1 (sqrt.f32 u1)) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 u1) u1))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(/.f32 (sqrt.f32 (-.f32 #s(literal 0 binary32) (*.f32 u1 u1))) (sqrt.f32 u1))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1))
(sqrt.f32 u1)
(*.f32 u1 (/.f32 (sqrt.f32 u1) u1))
(*.f32 u1 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) #s(literal -1 binary32))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (sqrt.f32 u1)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 u1 (sqrt.f32 u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1/2 binary32)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 #s(literal -1 binary32) (sqrt.f32 u1))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(*.f32 (/.f32 (sqrt.f32 u1) u1) (/.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 (sqrt.f32 u1) u1))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (*.f32 u1 (sqrt.f32 u1)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 (.f32 u1 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 (*.f32 u1 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (/.f32 u1 (.f32 u1 (.f32 u1 u1))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 u1 (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal 1/4 binary32))))
(.f32 (/.f32 (.f32 u1 u1) (pow.f32 u1 #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (pow.f32 u1 #s(literal 1/4 binary32))))
(.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (pow.f32 u1 #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (pow.f32 u1 #s(literal 1/4 binary32))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (sqrt.f32 u1)) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (sqrt.f32 u1)))
(.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (.f32 u1 u1)) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (.f32 u1 (.f32 u1 u1))) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) u1) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) u1) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal -1 binary32)) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) u1))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal 3/4 binary32)) u1))
(neg.f32 (sqrt.f32 u1))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))
(exp.f32 (.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(fabs.f32 (sqrt.f32 u1))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (sqrt.f32 u1) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(-.f32 (sqrt.f32 u1) (/.f32 #s(literal 0 binary32) (sqrt.f32 u1)))
(-.f32 (sqrt.f32 u1) (/.f32 (/.f32 #s(literal 0 binary32) u1) (sqrt.f32 u1)))
(-.f32 #s(literal 0 binary32) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) u1) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 u1 (*.f32 #s(literal 0 binary32) (sqrt.f32 u1))))) (sqrt.f32 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(/.f32 (.f32 u1 (sqrt.f32 u1)) (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)))))
(/.f32 (.f32 u1 (sqrt.f32 u1)) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 u1 (.f32 #s(literal 0 binary32) (sqrt.f32 u1))))))
(/.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 u1) u1))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
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(exp.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(+.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1)))
(+.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))
(+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(+.f32 (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(+.f32 (.f32 (.f32 u1 u1) #s(literal 0 binary32)) (.f32 u1 (.f32 u1 u1)))
(+.f32 (.f32 #s(literal 0 binary32) (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 6 binary32))
(pow.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32))
(pow.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32))
(fma.f32 u1 (*.f32 u1 u1) #s(literal 0 binary32))
(fma.f32 u1 (.f32 u1 u1) (.f32 (*.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 u1 (.f32 u1 u1) (.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(fma.f32 #s(literal 0 binary32) (.f32 u1 u1) (.f32 u1 (*.f32 u1 u1)))
(fma.f32 (.f32 u1 (sqrt.f32 u1)) (.f32 u1 (sqrt.f32 u1)) #s(literal 0 binary32))
(fma.f32 (.f32 u1 (sqrt.f32 u1)) (.f32 u1 (sqrt.f32 u1)) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (.f32 u1 (sqrt.f32 u1)) (.f32 u1 (sqrt.f32 u1)) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(fma.f32 (*.f32 u1 u1) u1 #s(literal 0 binary32))
(fma.f32 (.f32 u1 u1) u1 (.f32 (*.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (.f32 u1 u1) u1 (.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (.f32 u1 u1) #s(literal 0 binary32) (.f32 u1 (*.f32 u1 u1)))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(fma.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)) (.f32 (*.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)) (.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 3 binary32)) (.f32 (*.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 3 binary32)) (.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (/.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) u1)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) u1)) (.f32 (*.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (/.f32 (*.f32 u1 u1) #s(literal 1 binary32)) u1 #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 u1 u1) #s(literal 1 binary32)) u1 (.f32 (*.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (/.f32 (.f32 u1 u1) #s(literal 1 binary32)) u1 (.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) u1 #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) u1 (.f32 (*.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) u1 (.f32 #s(literal 0 binary32) (*.f32 u1 u1)))
(fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal 0 binary32))
(fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (.f32 (.f32 u1 u1) #s(literal 0 binary32)))
(fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (.f32 #s(literal 0 binary32) (.f32 u1 u1)))
(-.f32 (/.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) (/.f32 #s(literal 0 binary32) (-.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(/.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (.f32 u1 (*.f32 u1 u1)))
(/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 0 binary32)) (fma.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32)))))
(/.f32 (.f32 u1 (.f32 u1 (*.f32 u1 u1))) u1)
(/.f32 (-.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 0 binary32)) (-.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 0 binary32)))
(/.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 u1))) (*.f32 u1 u1))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal 3 binary32)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 u1)) #s(literal 3 binary32)) (.f32 u1 (*.f32 u1 u1)))
(/.f32 (pow.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32)) #s(literal 3 binary32)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
(/.f32 (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 0 binary32))) (neg.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))) (-.f32 #s(literal 0 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))))))
(/.f32 (neg.f32 (.f32 u1 (.f32 u1 (*.f32 u1 u1)))) u1)
(/.f32 (neg.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 u1)))) (*.f32 u1 u1))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 0 binary32))) (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 0 binary32))))
(sqrt.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (*.f32 u1 u1)))))
(.f32 u1 (.f32 u1 u1))
(.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (*.f32 u1 (sqrt.f32 u1)))
(.f32 (.f32 u1 u1) u1)
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1)))
(.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal 3 binary32)))
(.f32 (/.f32 (.f32 u1 u1) (.f32 u1 u1)) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (.f32 u1 u1) #s(literal 1 binary32)) u1)
(.f32 (/.f32 (.f32 u1 u1) #s(literal -1 binary32)) u1)
(.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 (.f32 u1 u1) (*.f32 u1 u1)))
(.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 (.f32 u1 u1) (*.f32 u1 u1)))
(neg.f32 (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 0 binary32))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(+.f32 (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) #s(literal 1/2 binary32))))
(+.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
(fma.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal -1/2 binary32) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 0 binary32))) #s(literal 1/2 binary32))))
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
(-.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 0 binary32))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (neg.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
(.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))
(.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (fma.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) #s(literal -1 binary32)) (fma.f32 (cos.f32 (.f32 (PI.f32) #s(literal 0 binary32))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))

simplify707.0ms (4.8%)

Memory

7.9MiB live, 670.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 540×	`lower-fma.f64`
13 540×	`lower-fma.f32`
9 144×	`lower-*.f64`
9 144×	`lower-*.f32`
4 062×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	625	6509
1	2072	5583
2	7599	5571
0	8295	5204

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 299

Calls

Call 1

Inputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))))
(+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) u1) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/3 (* 1/2 (/ (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))) (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 3)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (+ (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (+ 1/2 (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ 1 u1))))))))) (pow u1 2)) (sqrt (/ 1 (+ (log -1) (* -1 (log (/ 1 u1)))))))) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(* (sqrt (log (- 1 u1))) (sqrt -1))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (log (- 1 u1))))) (* (sqrt (log (- 1 u1))) (sqrt -1)))
(+ (* (sqrt (log (- 1 u1))) (sqrt -1)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1)) (sqrt (log (- 1 u1))))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1))) (sqrt (log (- 1 u1))))))))
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(+ 1 (* (pow u2 2) (+ (* -1 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* 1/3 (pow (PI) 4)))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))
(* -1 (* (pow u2 2) (pow (PI) 2)))
(* (pow u2 2) (- (* 1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(* (pow u2 2) (- (* (pow u2 2) (- (* -2/45 (* (pow u2 2) (pow (PI) 6))) (* -1/3 (pow (PI) 4)))) (pow (PI) 2)))
(* (pow u2 2) (- (* (pow u2 2) (- (* (pow u2 2) (- (* 1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))) (* -1/3 (pow (PI) 4)))) (pow (PI) 2)))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* -1 (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))
(* (pow u2 2) (pow (PI) 2))
(* (pow u2 2) (+ (* -1/3 (* (pow u2 2) (pow (PI) 4))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* 2/45 (* (pow u2 2) (pow (PI) 6))))) (pow (PI) 2)))
(* (pow u2 2) (+ (* (pow u2 2) (+ (* -1/3 (pow (PI) 4)) (* (pow u2 2) (+ (* -1/315 (* (pow u2 2) (pow (PI) 8))) (* 2/45 (pow (PI) 6)))))) (pow (PI) 2)))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* -1 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* -1 (sqrt (pow u1 3)))
(* -1 (sqrt (pow u1 3)))
(* -1 (sqrt (pow u1 3)))
(* -1 (sqrt (pow u1 3)))
(* -1 (sqrt (pow u1 3)))
(* -1 (sqrt (pow u1 3)))
(* -1 (sqrt (pow u1 3)))
(* -1 (sqrt (pow u1 3)))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
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(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
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(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(* -1 (* (* (pow u2 2) (pow (PI) 2)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 1/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))))
(* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (pow u2 2) (+ (* -2/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 1/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))))))
(* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (pow u2 2) (+ (* 1/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (pow u2 2) (+ (* -2/45 (* (pow (PI) 6) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 1/315 (* (* (pow u2 2) (pow (PI) 8)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))
(+ (* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(+ (* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/6 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(+ (* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* 1/32 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))
(* -1 (* (sqrt (pow u1 3)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (* 1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (pow (sqrt -1/3) 3))))))))
(* -1 (* (sqrt (pow u1 3)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (+ (* -1 (/ (+ (* -1/32 (* (sqrt u1) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3))))) (pow u1 3))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))))))

Outputs
(* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/4 (* (sqrt (pow u1 3)) (cos (* 2 (* u2 (PI)))))) (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* -1/6 (* (sqrt u1) (cos (* 2 (* u2 (PI)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal -1/6 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 2 (* u2 (PI)))) (+ 1/4 (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/6 (* (sqrt (/ 1 u1)) (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/6 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32))))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) u1))) (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))
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(fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))) #s(literal 1/4 binary32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1))))) (.f32 u1 (.f32 u1 u1))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u1)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1))))))))
(* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1))))
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(+ (* -1/2 (* (/ (cos (* 2 (* u2 (PI)))) u1) (sqrt (/ 1 (log (/ -1 u1)))))) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
(fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (log.f32 (neg.f32 u1)))))) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (log.f32 (neg.f32 u1))))))
(+ (* -1 (/ (+ (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1)))))) (* 1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* u2 (PI)))) (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) (sqrt (/ 1 (log (/ -1 u1)))))) (* -1/2 (* (/ (* (cos (* 2 (* u2 (PI)))) (- 1/3 (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (* (log (/ -1 u1)) (pow (sqrt -1) 2))))) (* (log (/ -1 u1)) (pow (sqrt -1) 2)))))) u1) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* 1/2 (* (cos (* 2 (* u2 (PI)))) (sqrt (/ 1 (log (/ -1 u1))))))) u1)) (* (* (cos (* 2 (* u2 (PI)))) (pow (sqrt -1) 2)) (sqrt (log (/ -1 u1)))))
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(* (sqrt (log (- 1 u1))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))))))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* -1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (pow (sqrt -1/3) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (pow (sqrt -1/3) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))))))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI)))))))))))))
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(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (/ (* (sqrt -1) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))) (* 1/2 (* (sqrt u1) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3))))) (pow u1 3))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))) (+ (* 1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))) (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* 1/2 (cos (* 2 (* u2 (PI))))))))))))))
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(* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 1/3 (* (* (pow u2 2) (pow (PI) 4)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))))
(.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (PI.f32) (neg.f32 (PI.f32)) (.f32 (.f32 u2 u2) (*.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (pow u2 2) (+ (* -2/45 (* (* (pow u2 2) (pow (PI) 6)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 1/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))))))
(.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32))))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(* (pow u2 2) (+ (* -1 (* (pow (PI) 2) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (pow u2 2) (+ (* 1/3 (* (pow (PI) 4) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* (pow u2 2) (+ (* -2/45 (* (pow (PI) 6) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1))))))) (* 1/315 (* (* (pow u2 2) (pow (PI) 8)) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))))))))
(.f32 (.f32 u2 u2) (fma.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (PI.f32) (neg.f32 (PI.f32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 1/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) #s(literal 1/315 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -2/45 binary32)))) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt (+ u1 (* (pow u1 2) (+ 1/2 (* -1/3 u1)))))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))
(.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(+ (* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* -1/4 (* (sqrt (pow u1 3)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))))
(+ (* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/6 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))))
(fma.f32 (.f32 u1 u1) (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal 1/6 binary32) (sqrt.f32 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))))
(+ (* -1 (* (sqrt u1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* (pow u1 2) (+ (* -1/4 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* u1 (+ (* 1/32 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))) (* 1/6 (* (sqrt (/ 1 u1)) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (.f32 #s(literal 19/96 binary32) u1))) (.f32 (sqrt.f32 u1) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))))
(* -1 (* (sqrt (pow u1 3)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))
(.f32 (.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 #s(literal -1/3 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 #s(literal -1/3 binary32)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1/3 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))))))
(.f32 (.f32 u1 u1) (fma.f32 (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1/3 binary32))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1/3 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (+ (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (sqrt -1/3)))) (* 1/32 (* (sqrt (/ 1 (pow u1 5))) (/ (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))) (pow (sqrt -1/3) 3))))))))
(.f32 (.f32 u1 u1) (fma.f32 (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1/3 binary32))) (fma.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))))) (fma.f32 (.f32 (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1/3 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) #s(literal -3/32 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1/3 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))))))
(* -1 (* (sqrt (pow u1 3)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))))))
(.f32 (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 #s(literal 1/3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/3 binary32))))) (neg.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/3 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))))))
(.f32 (.f32 u1 u1) (fma.f32 (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/3 binary32)))) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (neg.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/3 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 u1)) (* (sqrt -1) (* (sqrt 1/3) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI)))))))))) (+ (* -1 (/ (+ (* -1/32 (* (sqrt u1) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (pow (sqrt 1/3) 3)))) (* 1/2 (* (sqrt u1) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3))))) (pow u1 3))) (* -1/4 (* (sqrt (/ 1 (pow u1 3))) (/ (* (sqrt -1) (+ 1/2 (* -1/2 (cos (* 2 (* u2 (PI))))))) (sqrt 1/3)))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal -1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/3 binary32))))) (neg.f32 (fma.f32 (.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 1/3 binary32))) (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 1/3 binary32))) #s(literal -3/32 binary32))) (.f32 u1 (*.f32 u1 u1)))))))

eval408.0ms (2.8%)

Memory: -18.3MiB live, 501.7MiB allocated
Compiler: Compiled 54 455 to 6 292 computations (88.4% saved)

prune479.0ms (3.3%)

Memory

-0.5MiB live, 876.3MiB allocated

Pruning

88 alts after pruning (83 fresh and 5 done)

	Pruned	Kept	Total
New	2 036	49	2 085
Fresh	18	34	52
Picked	3	2	5
Done	0	3	3
Total	2 057	88	2 145

Accuracy

100.0%

Counts

2 145 → 88

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.2%	(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
	90.5%	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) u2) u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	69.6%	(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
	3.7%	(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
	73.1%	(/.f32 (fma.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	62.4%	(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
	62.5%	(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
	62.5%	(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
	75.3%	(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
	62.6%	(/.f32 u1 (sqrt.f32 u1))
	62.6%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
	84.9%	(.f32 (fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (pow.f32 u1 #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (pow.f32 u1 #s(literal 1/4 binary32))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.3%	(.f32 (fma.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.2%	(.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 (.f32 u1 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.9%	(.f32 (fma.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	87.7%	(.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
	88.6%	(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	76.0%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
	85.3%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	85.1%	(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	80.0%	(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
	87.7%	(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
	82.3%	(.f32 (pow.f32 (exp.f32 (log.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.4%	(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
	62.5%	(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
	62.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
	62.4%	(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
	89.1%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
	85.5%	(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
	91.6%	(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	89.3%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	85.5%	(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	77.7%	(.f32 (sqrt.f32 (/.f32 (.f32 (log1p.f32 (neg.f32 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (neg.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	90.0%	(.f32 (sqrt.f32 (-.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	89.3%	(.f32 (sqrt.f32 (-.f32 (-.f32 u1 (.f32 u1 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
✓	99.1%	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
	89.3%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	92.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	58.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (neg.f32 (.f32 (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) u1) (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	91.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	79.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	89.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	71.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
	85.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))) (fma.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 u2 u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
✓	59.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	57.4%	(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	75.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	5.6%	(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
	3.7%	(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
	96.6%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
	62.5%	(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
	68.7%	(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
	78.6%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	71.8%	(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
	78.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	61.2%	(sqrt.f32 (log1p.f32 u1))
✓	62.5%	(sqrt.f32 u1)
	62.6%	(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
	62.5%	(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
	5.6%	(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
	5.6%	(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (pow.f32 (/.f32 (sqrt.f32 u1) u1) #s(literal -3 binary32)))))
	6.4%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
	62.5%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
	62.4%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
	62.5%	(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
	5.6%	(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
	5.6%	(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
	5.6%	(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
	5.6%	(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
	5.6%	(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
	5.6%	(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
	5.6%	(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
✓	5.6%	(neg.f32 (sqrt.f32 u1))

Compiler

Compiled 4 342 to 1 706 computations (60.7% saved)

regimes427.0ms (2.9%)

Memory

17.0MiB live, 902.7MiB allocated

Counts

140 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
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(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) #s(literal 1/2 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (pow.f32 (exp.f32 (log.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))) #s(literal 1/2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) #s(literal 3 binary32)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32))) (fma.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (-.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) u2) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))))) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (/.f32 (.f32 (log1p.f32 (neg.f32 u1)) (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (neg.f32 (log.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) u2)))
(.f32 (sqrt.f32 (-.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) #s(literal 1 binary32))) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log1p.f32 u1)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (neg.f32 (pow.f32 (log1p.f32 u1) #s(literal 3 binary32))) (pow.f32 (log1p.f32 u1) #s(literal -2 binary32)) (log1p.f32 (.f32 u1 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u1) #s(literal 2 binary32))) (log.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (fma.f32 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))

Outputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

10 calls:

76.0ms	u2
41.0ms	u1
41.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
40.0ms	cosTheta_i
39.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes383.0ms (2.6%)

Memory

-1.6MiB live, 649.5MiB allocated

Counts

108 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (pow.f32 (/.f32 (sqrt.f32 u1) u1) #s(literal -3 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (-.f32 u1 (.f32 u1 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) (fma.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) u2) u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) u1) (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 (.f32 u1 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(.f32 (/.f32 (fma.f32 u1 (.f32 u1 #s(literal -1/2 binary32)) u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (sqrt.f32 (-.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal -1/2 binary32)) u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)) (.f32 (neg.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))) (fma.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2) (-.f32 (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)) (.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 (E.f32)))) u2)))
(.f32 (pow.f32 (pow.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))

Calls

10 calls:

74.0ms	cosTheta_i
61.0ms	u1
36.0ms	u2
34.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
31.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes450.0ms (3.1%)

Memory

-36.5MiB live, 485.5MiB allocated

Counts

93 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (pow.f32 (/.f32 (sqrt.f32 u1) u1) #s(literal -3 binary32)))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (-.f32 u1 (.f32 u1 (.f32 #s(literal -1/3 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (/.f32 u1 (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) #s(literal -1/3 binary32)) (neg.f32 (.f32 u1 (.f32 u1 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (.f32 (sqrt.f32 u1) #s(literal 1/6 binary32))) (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u2 (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))))))
(.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))) (fma.f32 (.f32 (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) u2) u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) u1) (/.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32))) u1) (+.f32 #s(literal -1 binary32) (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)))))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 (.f32 u1 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 (sqrt.f32 u1)) #s(literal 1/4 binary32))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1))) (.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (.f32 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) (.f32 u1 u1)) (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))

Outputs

(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Calls

10 calls:

47.0ms	u2
47.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
46.0ms	cosTheta_i
46.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
41.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
91.6%	1	`cosTheta_i`
96.4%	2	`u1`
97.4%	2	`u2`
97.3%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
96.4%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
96.4%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
96.4%	2	`(-.f32 #s(literal 1 binary32) u1)`
97.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes106.0ms (0.7%)

Memory

38.0MiB live, 115.1MiB allocated

Counts

70 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/4 binary32) (sqrt.f32 u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

(*.f32 (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Calls

3 calls:

48.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
38.0ms	u2
18.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))

Results

Accuracy	Segments	Branch
97.4%	2	`u2`
97.4%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
97.4%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes200.0ms (1.4%)

Memory

-10.9MiB live, 146.9MiB allocated

Counts

68 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))) u1 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Calls

4 calls:

62.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
49.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
43.0ms	u2
43.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
96.7%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.9%	2	`u2`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 37 to 32 computations (13.5% saved)

regimes173.0ms (1.2%)

Memory

-3.3MiB live, 116.5MiB allocated

Counts

66 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))

Outputs

(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

(*.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Calls

3 calls:

71.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
67.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
32.0ms	u2

Results

Accuracy	Segments	Branch
96.9%	2	`u2`
96.9%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.9%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes600.0ms (4.1%)

Memory

-3.0MiB live, 356.6MiB allocated

Counts

63 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Outputs
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Calls

9 calls:

85.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
82.0ms	u2
81.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
79.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
78.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
94.3%	2	`u1`
94.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
94.3%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
94.3%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
94.3%	2	`(-.f32 #s(literal 1 binary32) u1)`
95.6%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
96.0%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
96.0%	2	`u2`
96.0%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes150.0ms (1%)

Memory

-0.3MiB live, 235.6MiB allocated

Counts

62 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Calls

5 calls:

33.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
33.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
33.0ms	u2
28.0ms	cosTheta_i
20.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
85.5%	1	`cosTheta_i`
93.9%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
94.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.3%	2	`u2`
94.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 41 to 35 computations (14.6% saved)

regimes152.0ms (1%)

Memory

20.5MiB live, 450.6MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Outputs
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Calls

8 calls:

22.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
18.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
18.0ms	u2
18.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))

Results

Accuracy	Segments	Branch
92.5%	2	`u1`
92.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
92.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
92.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
92.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
94.3%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
94.3%	2	`u2`
94.3%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes148.0ms (1%)

Memory

17.2MiB live, 377.0MiB allocated

Counts

58 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Calls

9 calls:

18.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
17.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
17.0ms	u2
16.0ms	(-.f32 #s(literal 1 binary32) u1)
16.0ms	u1

Results

Accuracy	Segments	Branch
87.5%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
87.5%	2	`(-.f32 #s(literal 1 binary32) u1)`
87.5%	2	`u1`
87.5%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
87.5%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
89.7%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
90.5%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
90.5%	2	`u2`
90.5%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 71 to 61 computations (14.1% saved)

regimes174.0ms (1.2%)

Memory

-22.1MiB live, 466.2MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Outputs

(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))

Calls

10 calls:

25.0ms	u2
18.0ms	u1
17.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
17.0ms	cosTheta_i
16.0ms	(-.f32 #s(literal 1 binary32) u1)

Results

Accuracy	Segments	Branch
85.9%	2	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
85.9%	2	`(-.f32 #s(literal 1 binary32) u1)`
85.9%	2	`u1`
85.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
85.9%	2	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
80.0%	1	`cosTheta_i`
86.5%	2	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
86.7%	2	`u2`
86.7%	2	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
86.6%	2	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes185.0ms (1.3%)

Memory

-10.4MiB live, 385.8MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (*.f32 u1 (sqrt.f32 u1))))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (.f32 u1 (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (sqrt.f32 u1))))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (.f32 (sqrt.f32 (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (*.f32 u1 (sqrt.f32 u1)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (/.f32 (sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (.f32 u1 (.f32 u1 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1)))) (sqrt.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))

Outputs

(*.f32 (fma.f32 u2 (*.f32 u2 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))

Calls

10 calls:

28.0ms	u2
27.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
18.0ms	u1
17.0ms	(-.f32 #s(literal 1 binary32) u1)
17.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
80.0%	1	`cosTheta_i`
80.0%	1	`u1`
80.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
80.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
80.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
80.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
80.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
80.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
80.0%	1	`u2`
80.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes122.0ms (0.8%)

Memory

23.4MiB live, 343.0MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))

Calls

10 calls:

13.0ms	(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))
13.0ms	u2
13.0ms	cosTheta_i
13.0ms	u1
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)

Results

Accuracy	Segments	Branch
79.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
79.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
79.8%	1	`u1`
79.8%	1	`u2`
79.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
79.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
79.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
79.8%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
79.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
79.8%	1	`cosTheta_i`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes121.0ms (0.8%)

Memory

-9.4MiB live, 310.7MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1)))) (/.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 u1 u1)) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1))))

Outputs

(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 u2 u2)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))

Calls

10 calls:

13.0ms	u2
13.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
13.0ms	u1
12.0ms	cosTheta_i
12.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
76.0%	1	`u1`
76.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
76.0%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
76.0%	1	`u2`
76.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
76.0%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
76.0%	1	`(-.f32 #s(literal 1 binary32) u1)`
76.0%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
76.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
76.0%	1	`cosTheta_i`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes165.0ms (1.1%)

Memory

-7.6MiB live, 270.6MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) u1) (.f32 u1 (sqrt.f32 u1)))
(/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 u1) u1))
(neg.f32 (/.f32 (neg.f32 (*.f32 u1 (sqrt.f32 u1))) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 0 binary32))) u1)
(.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/4 binary32) (sqrt.f32 u1))
(neg.f32 (.f32 (neg.f32 (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 0 binary32)))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (sqrt.f32 u1))) (*.f32 u1 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 u1)))) (*.f32 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 0 binary32)) (neg.f32 (*.f32 u1 (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 u1 (sqrt.f32 u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(neg.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (*.f32 u1 (sqrt.f32 u1))))
(fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (neg.f32 (sqrt.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (*.f32 u1 (sqrt.f32 u1)) u1))))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (neg.f32 (.f32 (*.f32 u1 (sqrt.f32 u1)) u1)))))
(neg.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (sqrt.f32 u1)) (.f32 u1 u1)) (*.f32 u1 (sqrt.f32 u1))))

Outputs
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))

Calls

10 calls:

40.0ms	u2
36.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
13.0ms	u1
12.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
11.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Results

Accuracy	Segments	Branch
71.8%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
71.8%	1	`cosTheta_i`
71.8%	1	`u1`
71.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
71.8%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
71.8%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
71.8%	1	`u2`
71.8%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
71.8%	1	`(-.f32 #s(literal 1 binary32) u1)`
71.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes42.0ms (0.3%)

Memory

-8.1MiB live, 110.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(neg.f32 (/.f32 (*.f32 u1 (sqrt.f32 u1)) u1))

Outputs
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))

Calls

10 calls:

6.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))
5.0ms	u2
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
4.0ms	cosTheta_i
4.0ms	u1

Results

Accuracy	Segments	Branch
68.7%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
68.7%	1	`(-.f32 #s(literal 1 binary32) u1)`
68.7%	1	`u1`
68.7%	1	`u2`
68.7%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
68.7%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
68.7%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
68.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
68.7%	1	`cosTheta_i`
68.7%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes30.0ms (0.2%)

Memory

16.0MiB live, 95.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))
(/.f32 u1 (sqrt.f32 u1))
(neg.f32 (/.f32 u1 (sqrt.f32 u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) u1) u1)
(/.f32 (*.f32 u1 (sqrt.f32 u1)) u1)

Outputs
(/.f32 u1 (sqrt.f32 u1))

Calls

10 calls:

3.0ms	u2
3.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
3.0ms	u1
3.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
62.6%	1	`cosTheta_i`
62.6%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
62.6%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
62.6%	1	`(-.f32 #s(literal 1 binary32) u1)`
62.6%	1	`u1`
62.6%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
62.6%	1	`u2`
62.6%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
62.6%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
62.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`

Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes21.0ms (0.1%)

Memory

-21.8MiB live, 61.4MiB allocated

Accuracy

Total -18.9b remaining (-157.8%)

Threshold costs -18.9b (-157.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(neg.f32 (sqrt.f32 u1))

Outputs
(sqrt.f32 u1)

Calls

10 calls:

2.0ms	(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))
2.0ms	(-.f32 #s(literal 1 binary32) u1)
2.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)
2.0ms	u1

Results

Accuracy	Segments	Branch
62.5%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
62.5%	1	`(-.f32 #s(literal 1 binary32) u1)`
62.5%	1	`cosTheta_i`
62.5%	1	`u1`
62.5%	1	`u2`
62.5%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
62.5%	1	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
62.5%	1	`(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
62.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
62.5%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`

Compiler

Compiled 75 to 64 computations (14.7% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00901327095925808	0.010680229403078556

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04660465195775032	0.046606358140707016

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07807417958974838	0.0846492201089859

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07807417958974838	0.0846492201089859

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000343017716659233	0.0003513222618494183

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000343017716659233	0.0003513222618494183

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000343017716659233	0.0003513222618494183

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999902844429016	0.9999908208847046

Compiler

Compiled 19 to 20 computations (-5.3% saved)

bsearch0.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.000343017716659233	0.0003513222618494183

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify16.0ms (0.1%)

Memory

-5.2MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Rules

76×	`*-commutative_binary32`
28×	`sub-neg_binary32`
28×	`+-commutative_binary32`
24×	`neg-sub0_binary32`
24×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	435
1	159	435
2	197	435
3	216	435
4	224	435
5	225	435

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/536870912 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6255217/134217728 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777057/16777216 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(/.f32 u1 (sqrt.f32 u1))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/536870912 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/536870912 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/4 binary32) #s(literal -1/3 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6255217/134217728 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 6255217/134217728 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 #s(literal 1/4 binary32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 5368709/67108864 binary32)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 u1 #s(literal 1/3 binary32) #s(literal 1/2 binary32))) u1))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal -1 binary32))))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 #s(literal 1/2 binary32)) u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (fma.f32 u1 (*.f32 u1 #s(literal 1/2 binary32)) u1))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777057/16777216 binary32)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)) #s(literal 16777057/16777216 binary32)) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 u2 u2)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1)))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal -1/2 binary32)))))
(sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1/3 binary32) #s(literal 1/2 binary32)) u1))
(/.f32 u1 (sqrt.f32 u1))
(sqrt.f32 u1)

soundness1.6s (10.6%)

Memory

29.8MiB live, 1 389.2MiB allocated

Rules

13 540×	`lower-fma.f64`
13 540×	`lower-fma.f32`
11 128×	`lower-fma.f64`
11 128×	`lower-fma.f32`
10 910×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1737
1	858	1458
2	2728	1335
3	6882	1298
0	8134	1246
0	831	6430
1	2567	5640
0	8452	5371
0	35	158
0	68	154
1	215	150
2	1209	132
0	9722	132
0	40	205
0	76	179
1	265	152
0	1662	147
0	13	33
0	22	33
1	65	33
2	320	33
3	2355	31
0	8649	23
0	802	6567
1	2496	5599
0	8026	5279
0	625	6509
1	2072	5583
2	7599	5571
0	8295	5204

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 346 to 833 computations (38.1% saved)

preprocess78.0ms (0.5%)

Memory

-17.4MiB live, 178.4MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 984 to 292 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze359.0ms (2.4%)

sample2.1s (14.5%)

preprocess46.0ms (0.3%)

explain150.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize47.0ms (0.3%)

series44.0ms (0.3%)

rewrite280.0ms (1.9%)

simplify380.0ms (2.6%)

eval40.0ms (0.3%)

prune74.0ms (0.5%)

simplify411.0ms (2.8%)

localize222.0ms (1.5%)

series96.0ms (0.7%)

rewrite89.0ms (0.6%)

simplify452.0ms (3.1%)

eval101.0ms (0.7%)

prune136.0ms (0.9%)

simplify82.0ms (0.6%)

localize175.0ms (1.2%)

series41.0ms (0.3%)

rewrite260.0ms (1.8%)

simplify698.0ms (4.8%)

eval158.0ms (1.1%)

prune296.0ms (2%)

simplify290.0ms (2%)

localize226.0ms (1.5%)

series29.0ms (0.2%)

rewrite471.0ms (3.2%)

simplify707.0ms (4.8%)

eval408.0ms (2.8%)

prune479.0ms (3.3%)

regimes427.0ms (2.9%)

regimes383.0ms (2.6%)

regimes450.0ms (3.1%)

regimes106.0ms (0.7%)

regimes200.0ms (1.4%)

regimes173.0ms (1.2%)

regimes600.0ms (4.1%)

regimes150.0ms (1%)

regimes152.0ms (1%)

regimes148.0ms (1%)

regimes174.0ms (1.2%)

regimes185.0ms (1.3%)

regimes122.0ms (0.8%)

regimes121.0ms (0.8%)

regimes165.0ms (1.1%)

regimes42.0ms (0.3%)

regimes30.0ms (0.2%)

regimes21.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.6s (10.6%)

preprocess78.0ms (0.5%)

end0.0ms (0%)

Profiling